It will not affect the Missouri opinion, which was decided on state constitutional grounds. The only affect it could have is to cause the MO Court to reconsider, but that court is the final arbiter of its own Constitution. In this case where its Constitution is interpeted as being more strict than the federal constitution but not violating it, their ruling will stand.
Georgia is another story. The court there is one that was carefully selected by Dems. While not a substantive ruling, it sends a powerful message (a request to Kennedy to lift an injunction referred to the whole Court, which acted unanimously) to lower courts not to mess with elections in such a manner, so close to an election. Though I am not sure procedurally where that case is, this ruling might give the appellate court a reason to allow the photo ID requirement to remain while the case is decided.
It also may affect the 7th Circuit's deliberation in the Indiana case in which oral argument was heard last week. Widely predicted to uphold the photo req., this may give them some confidence to be bold.
Thank you. Hopefully you really become a senator one day.